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248718930 = 23519538233
BaseRepresentation
bin11101101001100…
…10011001010010
3122100000020020020
432310302121102
51002133001210
640402524310
76110035035
oct1664623122
9570006206
10248718930
11118439239
126b366696
133c6b4585
142506501c
1516c7e770
hexed32652

248718930 has 64 divisors (see below), whose sum is σ = 640275840. Its totient is φ = 61641216.

The previous prime is 248718919. The next prime is 248718947. The reversal of 248718930 is 39817842.

248718930 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2487189302 = 123722212280689800, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26094 + ... + 34326.

It is an arithmetic number, because the mean of its divisors is an integer number (10004310).

Almost surely, 2248718930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248718930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320137920).

248718930 is an abundant number, since it is smaller than the sum of its proper divisors (391556910).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

248718930 is a wasteful number, since it uses less digits than its factorization.

248718930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8315.

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 248718930 is about 15770.8252796104. The cubic root of 248718930 is about 628.8826503622.

The spelling of 248718930 in words is "two hundred forty-eight million, seven hundred eighteen thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 53 57 95 106 114 159 190 265 285 318 530 570 795 1007 1590 2014 3021 5035 6042 8233 10070 15105 16466 24699 30210 41165 49398 82330 123495 156427 246990 312854 436349 469281 782135 872698 938562 1309047 1564270 2181745 2346405 2618094 4363490 4692810 6545235 8290631 13090470 16581262 24871893 41453155 49743786 82906310 124359465 248718930